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Finding the Third Proportional to 199,090.50 and 433,173.38

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Solution

The third proportional to 199,090.50 and 433,173.38 is: 942,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,090.50 : 433,173.38 = 433,173.38 : x
  2. Step 2: Convert to fraction form
    199,090.50/433,173.38 = 433,173.38/x
  3. Step 3: Cross multiply
    199,090.50x = 433,173.38 × 433,173.38
  4. Step 4: Simplify right side
    199,090.50x = 187,639,172,808.89
  5. Step 5: Solve for x
    x = 187,639,172,808.89/199,090.50
  6. Step 6: Final answer
    x = 942,481.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.